Keep in mind that momentum is not necessarily forward. You can hit the ground and have the disc bounce around and it's all momentum from the throw. If, in the process, it stands up on edge and begins to roll, that is still momentum from the throw.

I can't imagine any way a disc can be propelled by wind alone. Certainly it can be aided by the wind, but there's no way the wind can actually be the only force propelling your disc forward.

I've witnessed a disc at rest in the basket get blown out and away by the wind. The wind blows A LOT here.